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- where appropriate. 1. Experience has shown that the seeds from a certain variety of orchid have a 75% chance of germinating when planted under normal conditions. Suppose n seeds are planted, and let X be the random variable that counts the number of seeds that germinate. (a) What type of random variable is X? Indicate both the type and the appropriate parameters using the "~" notation. Write down the pmf of X, and do not forget to indicate the range of values that x can take on. X ~ px (x) = = (b) What is the minimum value of n so that the probability of at least five of the seeds germinating is at least 90%?hoosing among several different estimators of 0, select one that is unbiased. Example 9.3: Let X₁, X2, ..., Xn be a random sample from a population mean and variance o². Show that the sample variance, - Σ(x₁ - x)² = n-1 is an unbiased estimator of o². 5²Let X be a normal random variable with = 10 and = 2. Find the values of P(X < 11) b. P(X > 8) P(7 < X < 9)
- Suppose X is a normal random variable with mean u = 17.5 and o = 6. A random sample of size n = 24 is selected from this population. a. Find the distribution of b. Find P(X < 14) and P(X < 14) Find P(15Q24find oc x is a a normal mean U=3 805-0-5 random distribution P (ocRecommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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